A parallel method for variational inequalities with the multiple-sets split feasibility problem constraints

DOI10.1007/s11784-017-0452-yzbMath1380.49007OpenAlexW2620604982MaRDI QIDQ1684880

Tran Viet Anh

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0452-y

zbMATH Keywords

variational inequalityminimum-norm solutionmultiple-sets split feasibility problemparallel method

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Numerical methods for variational inequalities and related problems (65K15)

Related Items (7)

An iterative method for solving the multiple-sets split variational inequality problem ⋮ Modified Tseng's extragradient methods with self-adaptive step size for solving bilevel split variational inequality problems ⋮ A Self-Adaptive Step Size Algorithm for Solving Variational Inequalities with the Split Feasibility Problem with Multiple Output Sets Constraints ⋮ Modified subgradient extragradient methods for solving bilevel split variational inequality problems in Hilbert spaces ⋮ Linesearch methods for bilevel split pseudomonotone variational inequality problems ⋮ A strong convergence theorem for an iterative method for solving the split variational inequalities in Hilbert spaces ⋮ A parallel algorithm for generalized multiple-set split feasibility with application to optimal control problems

Cites Work

• Unnamed Item
• Unnamed Item
• A cyclic and simultaneous iterative method for solving the multiple-sets split feasibility problem
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Combined relaxation methods for variational inequalities
• Modified projection methods for the split feasibility problem and the multiple-sets split feasibility problem
• A strongly convergent subgradient extragradient-Halpern method for solving a class of bilevel pseudomonotone variational inequalities
• On linear infeasibility arising in intensity-modulated radiation therapy inverse planning
• A simple projection method for solving the multiple-sets split feasibility problem
• A Successive Projection Algorithm for Solving the Multiple-Sets Split Feasibility Problem
• Self-adaptive projection methods for the multiple-sets split feasibility problem
• Iterative Algorithms for Nonlinear Operators
• The multiple-sets split feasibility problem and its applications for inverse problems
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems

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